C C .................................................................. C C SUBROUTINE DQL8 C C PURPOSE C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X C FROM 0 TO INFINITY). C C USAGE C CALL DQL8 (FCT,Y) C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT C C DESCRIPTION OF PARAMETERS C FCT - THE NAME OF AN EXTERNAL DOUBLE PRECISION FUNCTION C SUBPROGRAM USED. C Y - THE RESULTING DOUBLE PRECISION INTEGRAL VALUE. C C REMARKS C NONE C C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED C THE EXTERNAL DOUBLE PRECISION FUNCTION SUBPROGRAM FCT(X) C MUST BE FURNISHED BY THE USER. C C METHOD C EVALUATION IS DONE BY MEANS OF 8-POINT GAUSSIAN-LAGUERRE C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 15. C FOR REFERENCE, SEE C SHAO/CHEN/FRANK, TABLES OF ZEROS AND GAUSSIAN WEIGHTS OF C CERTAIN ASSOCIATED LAGUERRE POLYNOMIALS AND THE RELATED C GENERALIZED HERMITE POLYNOMIALS, IBM TECHNICAL REPORT C TR00.1100 (MARCH 1964), PP.24-25. C C .................................................................. C SUBROUTINE DQL8(FCT,Y) C C DOUBLE PRECISION X,Y,FCT C X=.22863131736889264D2 Y=.10480011748715104D-8*FCT(X) X=.15740678641278005D2 Y=Y+.8485746716272532D-6*FCT(X) X=.10758516010180995D2 Y=Y+.9076508773358213D-4*FCT(X) X=.70459054023934657D1 Y=Y+.27945362352256725D-2*FCT(X) X=.42667001702876588D1 Y=Y+.33343492261215652D-1*FCT(X) X=.22510866298661307D1 Y=Y+.17579498663717181D0*FCT(X) X=.9037017767993799D0 Y=Y+.41878678081434296D0*FCT(X) X=.17027963230510100D0 Y=Y+.36918858934163753D0*FCT(X) RETURN END